Answer:
![A=530.66\ cm^2](https://img.qammunity.org/2021/formulas/mathematics/college/1bfl3y67boz53gh5vy56il4ml2xjdqq38u.png)
Explanation:
For this exercise it is necessary to remember that the area of a circle can be calculated with the following formula:
![A=\pi r^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/y53l5bajukem3vosj2tgna2lxvbu4ngh5h.png)
Where "A" is the area of the circle and "r" is the radius of the circle.
In this case, based on the information given in the exercise, you know that the circular plate has the following radius:
![r=13\ cm](https://img.qammunity.org/2021/formulas/mathematics/college/elxxgnav85zjr2y5di1h387ti2yn1klo8t.png)
Therefore, knowing the radius, you can substitute them into the formula and finally, you must evaluate in order to calculate the area of the plate (Remember that you must use 3.14 for
).
Then, you get that this is:
![A=\pi r^2\\\\A=(3.14)(13\ cm)^2\\\\A=530.66\ cm^2](https://img.qammunity.org/2021/formulas/mathematics/college/mrcbb4672tpmsmhvq66gq76q03yj4rz2ln.png)